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Simplifying 3(4y + -8) + -1(3y + 9) = 0 Reorder the terms: 3(-8 + 4y) + -1(3y + 9) = 0 (-8 * 3 + 4y * 3) + -1(3y + 9) = 0 (-24 + 12y) + -1(3y + 9) = 0 Reorder the terms: -24 + 12y + -1(9 + 3y) = 0 -24 + 12y + (9 * -1 + 3y * -1) = 0 -24 + 12y + (-9 + -3y) = 0 Reorder the terms: -24 + -9 + 12y + -3y = 0 Combine like terms: -24 + -9 = -33 -33 + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y -33 + 9y = 0 Solving -33 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 9y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 9y = 0 + 33 9y = 0 + 33 Combine like terms: 0 + 33 = 33 9y = 33 Divide each side by '9'. y = 3.666666667 Simplifying y = 3.666666667
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